Nuclear Physics A ( IF 1.7 ) Pub Date : 2020-12-03 , DOI: 10.1016/j.nuclphysa.2020.122113 R. Albuquerque , S. Narison , D. Rabetiarivony , G. Randriamanatrika
We revisit, improve and complete some recent estimates of the and open charm tetraquarks and the corresponding molecules masses and decay constants from QCD spectral sum rules (QSSR) by using QCD Laplace sum rule (LSR) within stability criteria where the factorised perturbative NLO corrections and the contributions of quark and gluon condensates up to dimension-6 in the OPE are included. We confront our results with the invariant mass recently reported by LHCb from decays. We expect that the bump near the threshold can be originated from the molecule and/or scattering. The prominent (2900) scalar peak and the bump (if ) can emerge from a minimal mixing model, with a tiny mixing angle , between a scalar Tetramole () (superposition of nearly degenerated hypothetical molecules and compact tetraquarks states with the same quantum numbers) having a mass = 2705(21) MeV and the first radial excitation of the molecule with mass MeV. In an analogous way, the (2900) and the (if ) could be a mixture between the vector Tetramole with a mass MeV and its first radial excitation having a mass MeV with an angle . A (non)-confirmation of the previous minimal mixing models requires an experimental identification of the quantum numbers of the bumps at 3150 and 3350 MeV.
中文翻译:
来自NLO的QCD拉普拉斯和规则的X 0,1(2900)和(D - K +)不变质量
我们会重新评估,改进并完成一些有关 和 公开的魅力 通过在稳定性标准内使用QCD拉普拉斯求和规则(LSR)从QCD谱和规则(QSSR)获得四夸克及其相应的分子质量和衰变常数,其中因式分解的NLO校正以及夸克和胶子的贡献在第6维中冷凝至6维。包括OPE。我们以 LHCb最近报道了来自 衰变。我们希望附近的颠簸 阈值可以源自 分子和/或 散射。突出的 (2900)标量峰值和颠簸 (如果 )可以从最小的混合模型产生,并且混合角度很小,在标量Tetramole()(质量几乎相等的假想分子和具有相同量子数的紧密四夸克态的叠加) = 2705(21)MeV和 质量分子 MeV。以类似的方式, (2900)和 (如果 )可能是向量Tetramole之间的混合物 大量 MeV及其具有质量的第一个径向激励 MeV有一个角度 。对先前最小混合模型的(非)确认需要对3150 MeV和3350 MeV的凸点的量子数进行实验识别。